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23 April 2024
 
  » arxiv » 1612.7391

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Stirling permutations, marked permutations and Stirling derangements
Guan-Huei Duh ; Yen-chi Roger Lin ; Shi-Mei Ma ; Yeong-Nan Yeh ;
Date 22 Dec 2016
AbstractIn this paper we introduce the definition of marked permutations. We first present a bijection between Stirling permutations and marked permutations. We then present an involution on Stirling derangements. Furthermore, we present a symmetric bivariate enumerative polynomials on $r$-colored marked permutations. Finally, we give an explanation of $r$-colored marked permutations by using the language of combinatorial objects.
Source arXiv, 1612.7391
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